Solve for a
a=\frac{7x}{30}-\frac{1}{6}
Solve for x
x=\frac{30a+5}{7}
Graph
Share
Copied to clipboard
-30a-10=-8-7x+3
Multiply -6 and 5 to get -30.
-30a-10=-5-7x
Add -8 and 3 to get -5.
-30a=-5-7x+10
Add 10 to both sides.
-30a=5-7x
Add -5 and 10 to get 5.
\frac{-30a}{-30}=\frac{5-7x}{-30}
Divide both sides by -30.
a=\frac{5-7x}{-30}
Dividing by -30 undoes the multiplication by -30.
a=\frac{7x}{30}-\frac{1}{6}
Divide 5-7x by -30.
-30a-10=-8-7x+3
Multiply -6 and 5 to get -30.
-30a-10=-5-7x
Add -8 and 3 to get -5.
-5-7x=-30a-10
Swap sides so that all variable terms are on the left hand side.
-7x=-30a-10+5
Add 5 to both sides.
-7x=-30a-5
Add -10 and 5 to get -5.
\frac{-7x}{-7}=\frac{-30a-5}{-7}
Divide both sides by -7.
x=\frac{-30a-5}{-7}
Dividing by -7 undoes the multiplication by -7.
x=\frac{30a+5}{7}
Divide -30a-5 by -7.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}